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Fourth-order finite difference method for solving Burgers’ equation
Journal article   Peer reviewed

Fourth-order finite difference method for solving Burgers’ equation

I.A. Hassanien, A.A. Salama, H.A. Hosham and Hany Bakit
Applied mathematics and computation, Vol.170(2), pp.781-800
15/11/2005
DOI: https://doi.org/10.1016/j.amc.2004.12.052

Abstract

Burgers’ equation Convergence Finite difference method Stability
In this paper, we present fourth-order finite difference method for solving nonlinear one-dimensional Burgers’ equation. This method is unconditionally stable. The convergence analysis of the present method is studied and an upper bound for the error is derived. Numerical comparisons are made with most of the existing numerical methods for solving this equation.

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